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7 votes

Is there a second-order non-linear addition to Maxwell's equations?

Good answers. I just want to add that as I commented electromagnetism is strictly linear without coupling to charged if there ís coupling to charges or spins then upon integrating out the virtual ...
my2cts's user avatar
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14 votes

Is there a second-order non-linear addition to Maxwell's equations?

In addition to what the other answer already mentions, the non-linear extension required to include QED effects classically can also be found in [Jackson]. But the claim the question makes, that &...
Jos Bergervoet's user avatar
20 votes
Accepted

Is there a second-order non-linear addition to Maxwell's equations?

In Quantum Electrodynamics by A. I. Akhiezer; V. B. Berestetskii, photon-photon scattering is considered in paragraph 54, and the effective classical Lagrangian for nonlinear vacuum electrodynamics ...
E. Anikin's user avatar
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2 votes
Accepted

Do all nonlinear systems store energy?

What you say is close to a tautology. Ignoring the discussion of linear versus nonlinear, we can make a completely general statement about a system, which is that if the power input does not equal ...
Cort Ammon's user avatar
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3 votes

Burgers' equations and shock waves

Your shock waves can be interpreted as breaking waves which would require new physics (foam etc.). In the context of shallow water waves you can also modify your equations of motion for accuracy. The ...
LPZ's user avatar
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6 votes

Burgers' equations and shock waves

I guess you're misinterpreting something here: Burgers' equation is not the PDE governing shallow water equations PDEs governing shallow water system are a set of $n+1$ equations, begin $n$ the ...
basics's user avatar
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